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bk1 - Rutgers University
Scattering ParametersLinear two-port (and multi-port) networks are characterized by a number of equivalentcircuit parameters, such as their transfer matrix, impedance matrix, admittance matrix,and scattering matrix. Fig. shows a typical two-port matrix, also known as the ABCD matrix, relates the voltage and currentat port 1 to those at port 2, whereas theimpedance matrixrelates the two voltagesV1,V2to the two currentsI1,I2: V1I1 = ABCD V2I2 (transfer matrix) V1V2 = Z11Z12Z21Z22 I1 I2 (impedance matrix)( )Thus, the transfer and impedance matrices are the 2 2 matrices:T= ABCD ,Z= Z11Z12Z21Z22 ( )Theadmittance matrixis simply the inverse of the impedance matrix,Y=Z 1.
14.2. Power Flow 667 The actual measurements of the S-parameters are made by connecting to a matched load, ZL =Z 0.Then, there will be no reflected waves from the load, a
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